Consequences of temperature fluctuations in observables measured in high energy collisions

TL;DR

This paper reviews how intrinsic temperature fluctuations affect observables in high energy collisions, using nonextensive statistics and Tsallis distributions, highlighting their implications for multiplicity fluctuations and thermodynamic relations.

Contribution

It provides a comprehensive analysis of temperature fluctuations in high energy collisions within the framework of Tsallis statistics, including their effects on various observables and the relation to conservation laws.

Findings

Multiplicity fluctuations as a consequence of temperature fluctuations

Equivalence of temperature and volume fluctuations

Insights into the relation between Tsallis entropy and distributions

Abstract

We review the consequences of intrinsic, nonstatistical temperature fluctuations as seen in observables measured in high energy collisions. We do this from the point of view of nonextensive statistics and Tsallis distributions. Particular attention is paid to multiplicity fluctuations as a first consequence of temperature fluctuations, to the equivalence of temperature and volume fluctuations, to the generalized thermodynamic fluctuations relations allowing us to compare fluctuations observed in different parts of phase space, and to the problem of the relation between Tsallis entropy and Tsallis distributions. We also discuss the possible influence of conservation laws on these distributions and provide some examples of how one can get them without considering temperature fluctuations.